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Finding the Fourth Proportional to 363,879.71, 502,157.42 and 200,542.10

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Solution

The fourth proportional to 363,879.71, 502,157.42 and 200,542.10 is: 276,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,879.71 : 502,157.42 = 200,542.10 : x
  2. Step 2: Convert to fraction form
    363,879.71/502,157.42 = 200,542.10/x
  3. Step 3: Cross multiply
    363,879.71x = 502,157.42 × 200,542.10
  4. Step 4: Simplify right side
    363,879.71x = 100,703,703,661.72
  5. Step 5: Solve for x
    x = 100,703,703,661.72/363,879.71
  6. Step 6: Final answer
    x = 276,749.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.